Question

Given $A=\{a,x,y,r,s\},B=\{1,3,5,7,-10\}$, verify the commutative property of set union.

Answer 1

Given, $A=\{a,x,y,r,s\},B=\{1,3,5,7,-10\}$
$A\cup B=\{a,y,r,s,1,3,5,7,-10\}$ ....... (1)

$B\cup A=\{1,3,5,7,-10,a,x,y,r,s\}$ ........ (2)
From (1) and (2), we have
$A\cup B=B\cup A$